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Finding the Fourth Proportional to 167.60, 232.27 and 165.03

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Solution

The fourth proportional to 167.60, 232.27 and 165.03 is: 228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.60 : 232.27 = 165.03 : x
  2. Step 2: Convert to fraction form
    167.60/232.27 = 165.03/x
  3. Step 3: Cross multiply
    167.60x = 232.27 × 165.03
  4. Step 4: Simplify right side
    167.60x = 38,332.29
  5. Step 5: Solve for x
    x = 38,332.29/167.60
  6. Step 6: Final answer
    x = 228.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.